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Finding the Third Proportional to 50,072,546.25 and 106,758,987.75

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Solution

The third proportional to 50,072,546.25 and 106,758,987.75 is: 227,619,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072,546.25 : 106,758,987.75 = 106,758,987.75 : x
  2. Step 2: Convert to fraction form
    50,072,546.25/106,758,987.75 = 106,758,987.75/x
  3. Step 3: Cross multiply
    50,072,546.25x = 106,758,987.75 × 106,758,987.75
  4. Step 4: Simplify right side
    50,072,546.25x = 11,397,481,465,404,650
  5. Step 5: Solve for x
    x = 11,397,481,465,404,650/50,072,546.25
  6. Step 6: Final answer
    x = 227,619,370.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.